Identifying Domains in Exponential Growth Functions

A population of bacteria doubles every 3 hours. If the initial population is 100, what is the domain of the function representing the population over time?

• (0, 12)

• (-∞, 0)

• [0, ∞)

• [100, 200]

The value of an investment grows exponentially. If you invest $500 at an annual interest rate of 5%, what is the range of the function after 10 years?

• $700.25

• $814.45

• $600.00

• $950.00

A car's value decreases exponentially over time. If the car is worth $20,000 now and loses 15% of its value each year, what is the domain of the function that models its value?

• (-∞, 0)

• [0, ∞)

• (0, 20,000)

• [0, 20,000]

A tree grows exponentially, reaching a height of 2 meters in its first year. If it continues to grow at a rate of 50% per year, what is the range of the height function after 5 years?

• 10 meters

• 20 meters

• 5 meters

• 15.1875 meters

A certain species of fish in a lake doubles its population every month. If the initial population is 200, what is the domain of the function that models the population over time?

• {200, 400, 800, ...}

• {0, 1, 2, 3, 4, 5}

• {1, 2, 3, ...}

• {0, 1, 2, ...}

A savings account earns interest exponentially. If you start with $1,000 and the account doubles every 5 years, what is the range of the function after 15 years?

• $4,000

• $16,000

• $2,000

• $8,000

A certain type of mold grows exponentially. If it starts with 50 grams and doubles every day, what is the domain of the function that represents the mold's growth?

• [0, ∞)

• (0, 10)

• [10, 20]

• (-∞, 0)

A smartphone's value decreases exponentially. If it starts at $800 and loses 20% of its value each year, what is the range of the function after 4 years?

• 512

• 256

• 327.68

• 400

A company's revenue grows exponentially. If it starts at $10,000 and increases by 30% each year, what is the domain of the function that models the revenue over time?

• (-∞, 0)

• [10,000, ∞)

• [0, ∞)

• (0, 10,000)

A tree's height can be modeled by an exponential function. If it starts at 1 meter and grows at a rate of 40% per year, what is the range of the height function after 3 years?

• 1.5 meters

• 2.744 meters

• 3.2 meters

• 4.0 meters